On regularity criteria for the n-dimensional Navier–Stokes equations in terms of the pressure

Partial regularity of suitable weak solutions of the navier‐stokes equations

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1982 · 1.6K citations

Natural Sciences, Mechanical Engineering, Physics +16

On the interior regularity of weak solutions of the Navier-Stokes equations

James Serrin · Archive for Rational Mechanics and Analysis · 1962 · 1K citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +14

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga · Journal of Differential Equations · 1986 · 896 citations

Natural Sciences, Mathematics, Physics +15

<i>L</i> _3,∞ -solutions of the Navier-Stokes equations and backward uniqueness

Luis Escauriaza, G. Serëgin, Vladimír Šverák · Russian Mathematical Surveys · 2003 · 496 citations

Natural Sciences, Mathematics, Physics +8

On partial regularity results for the navier‐stokes equations

Michaël Struwe · Communications on Pure and Applied Mathematics · 1988 · 336 citations

Natural Sciences, Physics, Computational Fluid Dynamics +6